3 papers
math.DG2026
Strong Kato limit can be branching
Gilles Carron, Ilaria Mondello, David Tewodrose
We provide an example of a non-collapsed strong Kato limit that is branching, essentially branching, and satisfies neither the nor the c…
math.DG2025
Kato meets Bakry-Ãmery
Gilles Carron, Ilaria Mondello, David Tewodrose
We prove that any complete Riemannian manifold with negative part of the Ricci curvature in a suitable Dynkin class is bi-Lipschitz equivalent to a finite-dimensional $\mathrm{RCD}…
math.DG2024
Gromov-Hausdorff stability of tori under Ricci and integral scalar curvature bounds
Shouhei Honda, Christian Ketterer, Ilaria Mondello +2
We establish a nonlinear analogue of a splitting map into a Euclidean space, as a harmonic map into a flat torus. We prove that the existence of such a map implies Gromov-Hausdorff…